(2x-6)(x-4)(3x+3)=0

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Solution for (2x-6)(x-4)(3x+3)=0 equation: 


Simplifying
(2x + -6)(x + -4)(3x + 3) = 0

Reorder the terms:
(-6 + 2x)(x + -4)(3x + 3) = 0

Reorder the terms:
(-6 + 2x)(-4 + x)(3x + 3) = 0

Reorder the terms:
(-6 + 2x)(-4 + x)(3 + 3x) = 0

Multiply (-6 + 2x) * (-4 + x)
(-6(-4 + x) + 2x * (-4 + x))(3 + 3x) = 0
((-4 * -6 + x * -6) + 2x * (-4 + x))(3 + 3x) = 0
((24 + -6x) + 2x * (-4 + x))(3 + 3x) = 0
(24 + -6x + (-4 * 2x + x * 2x))(3 + 3x) = 0
(24 + -6x + (-8x + 2x2))(3 + 3x) = 0

Combine like terms: -6x + -8x = -14x
(24 + -14x + 2x2)(3 + 3x) = 0

Multiply (24 + -14x + 2x2) * (3 + 3x)
(24(3 + 3x) + -14x * (3 + 3x) + 2x2 * (3 + 3x)) = 0
((3 * 24 + 3x * 24) + -14x * (3 + 3x) + 2x2 * (3 + 3x)) = 0
((72 + 72x) + -14x * (3 + 3x) + 2x2 * (3 + 3x)) = 0
(72 + 72x + (3 * -14x + 3x * -14x) + 2x2 * (3 + 3x)) = 0
(72 + 72x + (-42x + -42x2) + 2x2 * (3 + 3x)) = 0
(72 + 72x + -42x + -42x2 + (3 * 2x2 + 3x * 2x2)) = 0
(72 + 72x + -42x + -42x2 + (6x2 + 6x3)) = 0

Combine like terms: 72x + -42x = 30x
(72 + 30x + -42x2 + 6x2 + 6x3) = 0

Combine like terms: -42x2 + 6x2 = -36x2
(72 + 30x + -36x2 + 6x3) = 0

Solving
72 + 30x + -36x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(12 + 5x + -6x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(12 + 5x + -6x2 + x3)' equal to zero and attempt to solve:

Simplifying
12 + 5x + -6x2 + x3 = 0

Solving
12 + 5x + -6x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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